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Finding the Third Proportional to 143,064 and 221,172

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Solution

The third proportional to 143,064 and 221,172 is: 341,924.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,064 : 221,172 = 221,172 : x
  2. Step 2: Convert to fraction form
    143,064/221,172 = 221,172/x
  3. Step 3: Cross multiply
    143,064x = 221,172 × 221,172
  4. Step 4: Simplify right side
    143,064x = 48,917,053,584
  5. Step 5: Solve for x
    x = 48,917,053,584/143,064
  6. Step 6: Final answer
    x = 341,924.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.